Another experiment was performed in an a to confirm the accepted formula for a simple Oscillatory motion occurs when a system repeats lating spring. The formula is its motion in a given period of time. The period T refers to the time it takes for the system to com plete the repetition. The period T is determined by the equation: T-2% where L is the length of the string and g is the acceleration due to gravity (approximately 10 m/s on Earth). T-2x where 7 is the period, m is the mass attached the spring, and k is the spring constant It was assumed that the mass of the spre negligible when compared to the mass m ous masses were hung on a spring to detamine their effect on the period of oscillation Mass (grams) Table 2 Period (sec) Centre Line 129 856 230 1.154 330 1.323 430 1.495 973 1.921 1000 2.175 1023 2.178 M Figure 1 In an attempt to experimentally confirm this expression the following data was gathered using Dendula where L varies. 13) Suppose one of the pendula (L-103.5 cm) taken to the moon to be tested. What appro imate difference in T would an experimente observe? (Note: free-fall acceleration at the surface of the moon is 1.6 m/s) Table 1 A. 1s B. 2 s 3s 4 s Length (cm) Period (sec) 156.0 2.76 103.5 1.99 75.8 1.96 53.7 1.54 14) Compute the value of for a spring with mass m=1.0 kg. A. 2.9 N/m B8.3 N/m of t 39.1 1.26 1000 C. 8354 N/m Y-102 CHAPTER 7 WAVE CHARACTERISTICS AND BEE D. 91.4 N/m